M. A. Bhatti
Fundamental Finite Element Analysis and Applications
With Mathematica and MATLAB Computations
M. A. Bhatti
Fundamental Finite Element Analysis and Applications
With Mathematica and MATLAB Computations
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_Finite Element Analysis with Mathematica and Matlab Computations and Practical Applications is an innovative, hands-on and practical introduction to the Finite Element Method that provides a powerful tool for learning this essential analytic method.
_Support website (www.wiley.com/go/bhatti) includes complete sets of Mathematica and Matlab implementations for all examples presented in the text. Also included on the site are problems designed for self-directed labs using commercial FEA software packages ANSYS and ABAQUS.
_Offers a practical and hands-on approach while providing a solid theoretical foundation.…mehr
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_Finite Element Analysis with Mathematica and Matlab Computations and Practical Applications is an innovative, hands-on and practical introduction to the Finite Element Method that provides a powerful tool for learning this essential analytic method.
_Support website (www.wiley.com/go/bhatti) includes complete sets of Mathematica and Matlab implementations for all examples presented in the text. Also included on the site are problems designed for self-directed labs using commercial FEA software packages ANSYS and ABAQUS.
_Offers a practical and hands-on approach while providing a solid theoretical foundation.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
_Support website (www.wiley.com/go/bhatti) includes complete sets of Mathematica and Matlab implementations for all examples presented in the text. Also included on the site are problems designed for self-directed labs using commercial FEA software packages ANSYS and ABAQUS.
_Offers a practical and hands-on approach while providing a solid theoretical foundation.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Produktdetails
- Produktdetails
- Verlag: Wiley & Sons
- 1. Auflage
- Seitenzahl: 720
- Erscheinungstermin: 4. Februar 2005
- Englisch
- Abmessung: 243mm x 197mm x 37mm
- Gewicht: 1375g
- ISBN-13: 9780471648086
- ISBN-10: 0471648086
- Artikelnr.: 13481008
- Verlag: Wiley & Sons
- 1. Auflage
- Seitenzahl: 720
- Erscheinungstermin: 4. Februar 2005
- Englisch
- Abmessung: 243mm x 197mm x 37mm
- Gewicht: 1375g
- ISBN-13: 9780471648086
- ISBN-10: 0471648086
- Artikelnr.: 13481008
M. Asghar Bhatti, Phd, is Associate Professor in the Department of Civil and Environmental Engineering at The University of Iowa, Iowa City.
Preface. 1. Finite Element Method: The Big Picture. 1.1 Discretization and
Element Equations. 1.2 Assembly of Element Equations. 1.3 Boundary
Conditions and Nodal Solution. 1.4 Element Solutions and Model Validity.
1.5 Solution of Linear Equations. 1.6 Multipoint Constraints. 1.7 Units. 2.
Mathematical Foundation of the Finite Element Method. 2.1 Axial Deformation
of Bars. 2.2 Axial Deformation of Bars Using Galerkin Method. 2.3 One
Dimensional BVP Using Galerkin Method. 2.4 Rayleigh-Ritz Method. 2.5
Comments on the Galerkin & the Rayleigh-Ritz Methods. 2.6 Finite Element
Form of Assumed Solutions. 2.7 Finite Element Solution of Axial Deformation
Problems. 3. One Dimensional Boundary Value Problem. 3.1 Selected
Applications of 1D BVP. 3.2 Finite Element Formulation for Second Order 1D
BVP 3.3 Steady State Heat Conduction. 3.4 Steady State Heat Conduction and
Convection. 3.5 Viscous Fluid Flow Between Parallel Plates. 3.6 Elastic
Buckling of Bars. 3.7 Solution of Second Order 1D BVP. 3.8 A Closer Look at
the Inter-Element Derivative Terms. 4. Trusses, Beams, and Frames. 4.1
Plane Trusses. 4.2 Space Trusses. 4.3 Temperature Changes and Initial
Strains in Trusses. 4.4 Spring Elements. 4.5 Transverse Deformation of
Beams. 4.6 Two Node Beam Element. 4.7 Uniform Beams Subjected to
Distributed Loads. 4.8 Plane Frames. Contents 4.9 Space Frames. 4.10 Frames
in Multistory Buildings. 5. Two Dimensional Elements. 5.1 Selected
Applications of the 2D BVP. 5.2 Integration by Parts in Higher Dimensions.
5.3 Finite Element Equations Using the Galerkin Method. 5.4 Rectangular
Finite Elements. 5.5 Triangular Finite Elements. 6. Mapped Elements. 6.1
Integration Using Change of Variables. 6.2 Mapping Quadrilaterals Using
Interpolation Functions. 6.3 Numerical Integration Using Gauss Quadrature.
6.4 Finite Element Computations Involving Mapped Elements. Fundamental
Finite Element Theory and Applications. 6.5 Complete Mathematica and Matlab
Based Solutions of 2DBVP Involving Mapped. Elements. 6.6 Triangular
Elements by Collapsing Quadrilaterals. 6.7 Infinite Elements. 7. Analysis
of Elastic Solids. 7.1 Fundamental Concepts in Elasticity. 7.2 Governing
Differential Equations. 7.3 General Form of Finite Element Equations. 7.4
Plane Stress and Plane Strain. 7.5 Planar Finite Element Models. 8.
Transient Problems. 8.1 Transient Field Problems. 8.2 Elastic Solids
Subjected to Dynamic Loads. Contents 9. p-Formulation. 9.1 p-Formpulation
for Second-Order 1D BVP. 9.2 p-Formpulation for Second-Order 2D BVP.
Appendix A: Use of Commercial FEA Software. A.1 Ansys Applications. A.2
Optimizing Design Using Ansys. A.3 Abaqus Applications. Appendix B:
Variational Form for Boundary Value Problems. B.1 Basic concept of
variation of a function. B.2 Derivation of Equivalent Variational Form. B.3
Boundary Value Problem Corresponding to a Given Functional. Bibliography.
Index.
Element Equations. 1.2 Assembly of Element Equations. 1.3 Boundary
Conditions and Nodal Solution. 1.4 Element Solutions and Model Validity.
1.5 Solution of Linear Equations. 1.6 Multipoint Constraints. 1.7 Units. 2.
Mathematical Foundation of the Finite Element Method. 2.1 Axial Deformation
of Bars. 2.2 Axial Deformation of Bars Using Galerkin Method. 2.3 One
Dimensional BVP Using Galerkin Method. 2.4 Rayleigh-Ritz Method. 2.5
Comments on the Galerkin & the Rayleigh-Ritz Methods. 2.6 Finite Element
Form of Assumed Solutions. 2.7 Finite Element Solution of Axial Deformation
Problems. 3. One Dimensional Boundary Value Problem. 3.1 Selected
Applications of 1D BVP. 3.2 Finite Element Formulation for Second Order 1D
BVP 3.3 Steady State Heat Conduction. 3.4 Steady State Heat Conduction and
Convection. 3.5 Viscous Fluid Flow Between Parallel Plates. 3.6 Elastic
Buckling of Bars. 3.7 Solution of Second Order 1D BVP. 3.8 A Closer Look at
the Inter-Element Derivative Terms. 4. Trusses, Beams, and Frames. 4.1
Plane Trusses. 4.2 Space Trusses. 4.3 Temperature Changes and Initial
Strains in Trusses. 4.4 Spring Elements. 4.5 Transverse Deformation of
Beams. 4.6 Two Node Beam Element. 4.7 Uniform Beams Subjected to
Distributed Loads. 4.8 Plane Frames. Contents 4.9 Space Frames. 4.10 Frames
in Multistory Buildings. 5. Two Dimensional Elements. 5.1 Selected
Applications of the 2D BVP. 5.2 Integration by Parts in Higher Dimensions.
5.3 Finite Element Equations Using the Galerkin Method. 5.4 Rectangular
Finite Elements. 5.5 Triangular Finite Elements. 6. Mapped Elements. 6.1
Integration Using Change of Variables. 6.2 Mapping Quadrilaterals Using
Interpolation Functions. 6.3 Numerical Integration Using Gauss Quadrature.
6.4 Finite Element Computations Involving Mapped Elements. Fundamental
Finite Element Theory and Applications. 6.5 Complete Mathematica and Matlab
Based Solutions of 2DBVP Involving Mapped. Elements. 6.6 Triangular
Elements by Collapsing Quadrilaterals. 6.7 Infinite Elements. 7. Analysis
of Elastic Solids. 7.1 Fundamental Concepts in Elasticity. 7.2 Governing
Differential Equations. 7.3 General Form of Finite Element Equations. 7.4
Plane Stress and Plane Strain. 7.5 Planar Finite Element Models. 8.
Transient Problems. 8.1 Transient Field Problems. 8.2 Elastic Solids
Subjected to Dynamic Loads. Contents 9. p-Formulation. 9.1 p-Formpulation
for Second-Order 1D BVP. 9.2 p-Formpulation for Second-Order 2D BVP.
Appendix A: Use of Commercial FEA Software. A.1 Ansys Applications. A.2
Optimizing Design Using Ansys. A.3 Abaqus Applications. Appendix B:
Variational Form for Boundary Value Problems. B.1 Basic concept of
variation of a function. B.2 Derivation of Equivalent Variational Form. B.3
Boundary Value Problem Corresponding to a Given Functional. Bibliography.
Index.
Preface. 1. Finite Element Method: The Big Picture. 1.1 Discretization and
Element Equations. 1.2 Assembly of Element Equations. 1.3 Boundary
Conditions and Nodal Solution. 1.4 Element Solutions and Model Validity.
1.5 Solution of Linear Equations. 1.6 Multipoint Constraints. 1.7 Units. 2.
Mathematical Foundation of the Finite Element Method. 2.1 Axial Deformation
of Bars. 2.2 Axial Deformation of Bars Using Galerkin Method. 2.3 One
Dimensional BVP Using Galerkin Method. 2.4 Rayleigh-Ritz Method. 2.5
Comments on the Galerkin & the Rayleigh-Ritz Methods. 2.6 Finite Element
Form of Assumed Solutions. 2.7 Finite Element Solution of Axial Deformation
Problems. 3. One Dimensional Boundary Value Problem. 3.1 Selected
Applications of 1D BVP. 3.2 Finite Element Formulation for Second Order 1D
BVP 3.3 Steady State Heat Conduction. 3.4 Steady State Heat Conduction and
Convection. 3.5 Viscous Fluid Flow Between Parallel Plates. 3.6 Elastic
Buckling of Bars. 3.7 Solution of Second Order 1D BVP. 3.8 A Closer Look at
the Inter-Element Derivative Terms. 4. Trusses, Beams, and Frames. 4.1
Plane Trusses. 4.2 Space Trusses. 4.3 Temperature Changes and Initial
Strains in Trusses. 4.4 Spring Elements. 4.5 Transverse Deformation of
Beams. 4.6 Two Node Beam Element. 4.7 Uniform Beams Subjected to
Distributed Loads. 4.8 Plane Frames. Contents 4.9 Space Frames. 4.10 Frames
in Multistory Buildings. 5. Two Dimensional Elements. 5.1 Selected
Applications of the 2D BVP. 5.2 Integration by Parts in Higher Dimensions.
5.3 Finite Element Equations Using the Galerkin Method. 5.4 Rectangular
Finite Elements. 5.5 Triangular Finite Elements. 6. Mapped Elements. 6.1
Integration Using Change of Variables. 6.2 Mapping Quadrilaterals Using
Interpolation Functions. 6.3 Numerical Integration Using Gauss Quadrature.
6.4 Finite Element Computations Involving Mapped Elements. Fundamental
Finite Element Theory and Applications. 6.5 Complete Mathematica and Matlab
Based Solutions of 2DBVP Involving Mapped. Elements. 6.6 Triangular
Elements by Collapsing Quadrilaterals. 6.7 Infinite Elements. 7. Analysis
of Elastic Solids. 7.1 Fundamental Concepts in Elasticity. 7.2 Governing
Differential Equations. 7.3 General Form of Finite Element Equations. 7.4
Plane Stress and Plane Strain. 7.5 Planar Finite Element Models. 8.
Transient Problems. 8.1 Transient Field Problems. 8.2 Elastic Solids
Subjected to Dynamic Loads. Contents 9. p-Formulation. 9.1 p-Formpulation
for Second-Order 1D BVP. 9.2 p-Formpulation for Second-Order 2D BVP.
Appendix A: Use of Commercial FEA Software. A.1 Ansys Applications. A.2
Optimizing Design Using Ansys. A.3 Abaqus Applications. Appendix B:
Variational Form for Boundary Value Problems. B.1 Basic concept of
variation of a function. B.2 Derivation of Equivalent Variational Form. B.3
Boundary Value Problem Corresponding to a Given Functional. Bibliography.
Index.
Element Equations. 1.2 Assembly of Element Equations. 1.3 Boundary
Conditions and Nodal Solution. 1.4 Element Solutions and Model Validity.
1.5 Solution of Linear Equations. 1.6 Multipoint Constraints. 1.7 Units. 2.
Mathematical Foundation of the Finite Element Method. 2.1 Axial Deformation
of Bars. 2.2 Axial Deformation of Bars Using Galerkin Method. 2.3 One
Dimensional BVP Using Galerkin Method. 2.4 Rayleigh-Ritz Method. 2.5
Comments on the Galerkin & the Rayleigh-Ritz Methods. 2.6 Finite Element
Form of Assumed Solutions. 2.7 Finite Element Solution of Axial Deformation
Problems. 3. One Dimensional Boundary Value Problem. 3.1 Selected
Applications of 1D BVP. 3.2 Finite Element Formulation for Second Order 1D
BVP 3.3 Steady State Heat Conduction. 3.4 Steady State Heat Conduction and
Convection. 3.5 Viscous Fluid Flow Between Parallel Plates. 3.6 Elastic
Buckling of Bars. 3.7 Solution of Second Order 1D BVP. 3.8 A Closer Look at
the Inter-Element Derivative Terms. 4. Trusses, Beams, and Frames. 4.1
Plane Trusses. 4.2 Space Trusses. 4.3 Temperature Changes and Initial
Strains in Trusses. 4.4 Spring Elements. 4.5 Transverse Deformation of
Beams. 4.6 Two Node Beam Element. 4.7 Uniform Beams Subjected to
Distributed Loads. 4.8 Plane Frames. Contents 4.9 Space Frames. 4.10 Frames
in Multistory Buildings. 5. Two Dimensional Elements. 5.1 Selected
Applications of the 2D BVP. 5.2 Integration by Parts in Higher Dimensions.
5.3 Finite Element Equations Using the Galerkin Method. 5.4 Rectangular
Finite Elements. 5.5 Triangular Finite Elements. 6. Mapped Elements. 6.1
Integration Using Change of Variables. 6.2 Mapping Quadrilaterals Using
Interpolation Functions. 6.3 Numerical Integration Using Gauss Quadrature.
6.4 Finite Element Computations Involving Mapped Elements. Fundamental
Finite Element Theory and Applications. 6.5 Complete Mathematica and Matlab
Based Solutions of 2DBVP Involving Mapped. Elements. 6.6 Triangular
Elements by Collapsing Quadrilaterals. 6.7 Infinite Elements. 7. Analysis
of Elastic Solids. 7.1 Fundamental Concepts in Elasticity. 7.2 Governing
Differential Equations. 7.3 General Form of Finite Element Equations. 7.4
Plane Stress and Plane Strain. 7.5 Planar Finite Element Models. 8.
Transient Problems. 8.1 Transient Field Problems. 8.2 Elastic Solids
Subjected to Dynamic Loads. Contents 9. p-Formulation. 9.1 p-Formpulation
for Second-Order 1D BVP. 9.2 p-Formpulation for Second-Order 2D BVP.
Appendix A: Use of Commercial FEA Software. A.1 Ansys Applications. A.2
Optimizing Design Using Ansys. A.3 Abaqus Applications. Appendix B:
Variational Form for Boundary Value Problems. B.1 Basic concept of
variation of a function. B.2 Derivation of Equivalent Variational Form. B.3
Boundary Value Problem Corresponding to a Given Functional. Bibliography.
Index.